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A deep generative framework for data-driven surrogate modeling and visualization of parameterized nonlinear dynamical systems
Nonlinear dynamical systems in applications such as design and control typically depend on a set of variable parameters that represent system...
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Adaptive neural control of nonlinear periodic time-varying parameterized mixed-order multi-agent systems with unknown control coefficients
In this paper, we first consider the adaptive leader-following consensus problem for a class of nonlinear parameterized mixed-order multi-agent...
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Distributed Repetitive Learning Consensus Control of Mixed-order Linear Periodic Parameterized Nonlinear Multi-agent Systems
This paper studies the consensus of mixed-order unknown periodic time-vary parameterized nonlinear multi-agent systems over heterogeneous network...
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Low Codimension Control Singularities for Single Input Nonlinear Systems
Nonlinear dynamical systems exhibit complicated performance around bifurcation points. As the parameter of a system is varied, changes may occur in...
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Nonlinear stability evolution of railway wagon system due to wheel profile wear
Railway vehicle hunting instability frequently occurs due to severe operating conditions, significantly affecting trains’ running quality. This paper...
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Probabilistic response determination of high-dimensional nonlinear dynamical systems enforced by parametric multiple Poisson white noises
High-dimensional stochastic dynamical systems enforced by Poisson white noise (PWN) are encountered widely in physics, chemistry, biology, and...
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Insights on the performance and dynamical characteristics of piezoelectric energy harvesters with dissipative viscoelastic impacts
The effectiveness and dynamical characteristics of a cantilevered-piezoelectric energy harvester with a tip mass is investigated. The harvester is...
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Machine learning-based state maps for complex dynamical systems: applications to friction-excited brake system vibrations
In this work, a purely data-driven approach to map** out the state of a dynamical system over a set of chosen parameters is presented and...
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AILC of Parameterized Nonlinear Time-Delay Systems
In this chapter, based on a deep investigation of research results concerning nonlinear systems with time-delay and dead-zone, a new AILC scheme is...
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Constructive Nonlinear Dynamics – Foundations and Application to Robust Nonlinear Control
This paper summarizes two recently presented strategies based on bifurcation theory and nonlinear dynamics that address robust control design of...
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System identification based on characteristic curves: a mathematical connection between power series and Fourier analysis for first-order nonlinear systems
Recently, the s inosoidal o utput r esponse in p ower s eries (SORPS) formalism was presented for system identification and simulation. Based on the...
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Bifurcations and Chaos in Turbo Decoding Algorithms
The turbo decoding algorithm is a high-dimensional dynamical system parameterized by a large number of parameters (for a practical realization the...
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1 Nonlinear Adaptive Stabilization via System Immersion: Control Design and Applications
This chapter presents a review of a recently developed methodology for the (adaptive) stabilization of nonlinear systems via state and output...
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Nonlinear Identification and Position Control of a Pneumatic System
In this work a pneumatic positioning system is studied. The system presents high nonlinearities since it is subjected to static friction, dead bands,...
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Nonlinear Normal Modes and Reduced Order Models
Nonlinear normal modes (NNMs) have been used in the last decades as an additional tool for the analysis of multi degree of freedom (mdof) dynamical...
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New physical insights in dynamical stabilization: introducing Periodically Oscillating-Diverging Systems (PODS)
Dynamical stabilization is the ability of a statically diverging stationary state to gain stability by periodically modulating its physical...
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Control of Hybrid Nonlinear Systems
In this chapter, we develop hybrid nonlinear control methodologies for various classes of hybrid nonlinear processes. Initially, switched processes...
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Real-time parameter updating for nonlinear digital twins using inverse map** models and transient-based features
In the context of digital twins, it is essential that a model gives an accurate description of the (controlled) dynamic behavior of a physical system...
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Practical Stabilization of Systems with a Fold Control Bifurcation
Nonlinear parameterized dynamical systems exhibit complicated performance around bifurcation points. As the parameter of a system is varied, changes...
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Modeling and Control of Nonlinear Dynamic Systems
This chapter mainly introduces the fundamental concepts of the modeling and control for nonlinear dynamic systems. The Lyapunov stability is the...